ok if its for turn then you can have the Tool number persistant but the offsets will not be kept. This is because Tool 1 can have many offsets, eg T0101, T0111, T0121 etc etc.
It is best practice to have the last part of any G Code indexing back to T0101 before it ends, that way you always know that after a reset Mach has the correct offsets loaded.
If however you did have Tool 3 In position the DRO would show it was tool3 but the offset would be zero, ie T0300. If however you called the correct tool and offset in your code it would again be set to the correct offset.
Hood